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# How to Derive Frequency from Less Than Cumulative Frequency?

TopCumulative frequency in mathematics can be described as frequency of a specific class. Frequency of upper class boundary of that specific class is greater than frequency of all other classes. We can represent a cumulative frequency by a table format. Table is called as Frequency Distribution Table. Basic format to represent the cumulative frequency is Percentage format. We can easily see variation in cumulative frequency by a graph. Let us see how to derive frequency from less than cumulative frequency.
Let us see what is less than cumulative frequency:

In less than cumulative frequency, frequencies which are in preceding classes will be added to frequency of all the remaining class. We add first class frequency to second class frequency then to third class frequency and so on until we get higher frequency than cumulative frequency. We can understand this concept with help of an example.
Shown below is the table of marks of students. Here we have used less than cumulative frequency for marks.

 marks Less than cumulative frequency Less than 10 7 Less than 15 8 Less than 20 24 Less than 25 25 Less than 30 37 Less than 35 59 Less than 40 82
This table is called frequency distribution table as it is containing cumulative frequencies. It is less than cumulative frequency distribution table. In this table we have two columns one is for marks and other is for less than cumulative frequency which is used to show number of students.
From this table we can say that number of students which have marks less than 30 are 37. This is less than cumulative frequency.